In optical experiment, the adjustment of optical components is actually to adjust several degrees of freedom of the six degrees of freedom. The basic design concept of different optical adjusting frames is to adjust one or more degrees of freedom and ensure accuracy. Five-dimensional adjusting frame is commonly used to adjust the five degrees of freedom of optical components. For the five-dimensional optical adjusting frame, due to the limitation of system installation space, the requirement of system installation state, the difficulty of mechanical structure design and processing technology, it is impossible to achieve two orthogonality between the three-dimensional translation adjustment freedom of the adjusting frame; the rotation center of two-dimensional rotation freedom can not coincide with the optical center of optical components; therefore, the five-degree-of-freedom adjustment is required. During the whole time, coordinate coupling exists among the adjustments of each dimension, that is to say, adjusting one dimension of the adjustments will cause changes in other dimensions or even several dimensions.
Generally, in optical system alignment, coordinate coupling is usually neglected because it is impossible to quantify and compensate the coordinate coupling relationship between the position adjustments. By decomposing and transforming the adjustments of the five-dimensional optical adjusting frame and eliminating the coordinate coupling between the adjustments of the five-dimensional optical adjusting frame, the expected values of the actual optical adjustments and adjustments can be coincided, thus making the adjustment of the adjustments of the various dimensions more accurate in the process of the optical system installation and adjustment.